1// Numeric extensions -*- C++ -*-
2
3// Copyright (C) 2002, 2004, 2005, 2009 Free Software Foundation, Inc.
4//
5// This file is part of the GNU ISO C++ Library.  This library is free
6// software; you can redistribute it and/or modify it under the
7// terms of the GNU General Public License as published by the
8// Free Software Foundation; either version 3, or (at your option)
9// any later version.
10
11// This library is distributed in the hope that it will be useful,
12// but WITHOUT ANY WARRANTY; without even the implied warranty of
13// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14// GNU General Public License for more details.
15
16// Under Section 7 of GPL version 3, you are granted additional
17// permissions described in the GCC Runtime Library Exception, version
18// 3.1, as published by the Free Software Foundation.
19
20// You should have received a copy of the GNU General Public License and
21// a copy of the GCC Runtime Library Exception along with this program;
22// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
23// <http://www.gnu.org/licenses/>.
24
25/*
26 *
27 * Copyright (c) 1994
28 * Hewlett-Packard Company
29 *
30 * Permission to use, copy, modify, distribute and sell this software
31 * and its documentation for any purpose is hereby granted without fee,
32 * provided that the above copyright notice appear in all copies and
33 * that both that copyright notice and this permission notice appear
34 * in supporting documentation.  Hewlett-Packard Company makes no
35 * representations about the suitability of this software for any
36 * purpose.  It is provided "as is" without express or implied warranty.
37 *
38 *
39 * Copyright (c) 1996
40 * Silicon Graphics Computer Systems, Inc.
41 *
42 * Permission to use, copy, modify, distribute and sell this software
43 * and its documentation for any purpose is hereby granted without fee,
44 * provided that the above copyright notice appear in all copies and
45 * that both that copyright notice and this permission notice appear
46 * in supporting documentation.  Silicon Graphics makes no
47 * representations about the suitability of this software for any
48 * purpose.  It is provided "as is" without express or implied warranty.
49 */
50
51/** @file ext/numeric
52 *  This file is a GNU extension to the Standard C++ Library (possibly
53 *  containing extensions from the HP/SGI STL subset). 
54 */
55
56#ifndef _EXT_NUMERIC
57#define _EXT_NUMERIC 1
58
59#pragma GCC system_header
60
61#include <bits/concept_check.h>
62#include <numeric>
63
64#include <ext/functional> // For identity_element
65
66_GLIBCXX_BEGIN_NAMESPACE(__gnu_cxx)
67
68  // Returns __x ** __n, where __n >= 0.  _Note that "multiplication"
69  // is required to be associative, but not necessarily commutative.
70  template<typename _Tp, typename _Integer, typename _MonoidOperation>
71    _Tp
72    __power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op)
73    {
74      if (__n == 0)
75	return identity_element(__monoid_op);
76      else
77	{
78	  while ((__n & 1) == 0)
79	    {
80	      __n >>= 1;
81	      __x = __monoid_op(__x, __x);
82	    }
83
84	  _Tp __result = __x;
85	  __n >>= 1;
86	  while (__n != 0)
87	    {
88	      __x = __monoid_op(__x, __x);
89	      if ((__n & 1) != 0)
90		__result = __monoid_op(__result, __x);
91	      __n >>= 1;
92	    }
93	  return __result;
94	}
95    }
96
97  template<typename _Tp, typename _Integer>
98    inline _Tp
99    __power(_Tp __x, _Integer __n)
100    { return __power(__x, __n, std::multiplies<_Tp>()); }
101
102  /**
103   *  This is an SGI extension.
104   *  @ingroup SGIextensions
105   *  @doctodo
106  */
107  // Alias for the internal name __power.  Note that power is an extension,
108  // not part of the C++ standard.
109  template<typename _Tp, typename _Integer, typename _MonoidOperation>
110    inline _Tp
111    power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op)
112    { return __power(__x, __n, __monoid_op); }
113
114  /**
115   *  This is an SGI extension.
116   *  @ingroup SGIextensions
117   *  @doctodo
118  */
119  template<typename _Tp, typename _Integer>
120    inline _Tp
121    power(_Tp __x, _Integer __n)
122    { return __power(__x, __n); }
123
124  /**
125   *  This is an SGI extension.
126   *  @ingroup SGIextensions
127   *  @doctodo
128  */
129  // iota is not part of the C++ standard.  It is an extension.
130  template<typename _ForwardIter, typename _Tp>
131    void
132    iota(_ForwardIter __first, _ForwardIter __last, _Tp __value)
133    {
134      // concept requirements
135      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<_ForwardIter>)
136      __glibcxx_function_requires(_ConvertibleConcept<_Tp,
137	    typename std::iterator_traits<_ForwardIter>::value_type>)
138
139      while (__first != __last)
140	*__first++ = __value++;
141    }
142
143_GLIBCXX_END_NAMESPACE
144
145#endif
146
147